What is the Least Common Multiple of 14038 and 14058?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 14038 and 14058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14038 and 14058, than apply into the LCM equation.

GCF(14038,14058) = 2
LCM(14038,14058) = ( 14038 × 14058) / 2
LCM(14038,14058) = 197346204 / 2
LCM(14038,14058) = 98673102

Least Common Multiple (LCM) of 14038 and 14058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14038 and 14058. First we will calculate the prime factors of 14038 and 14058.

Prime Factorization of 14038

Prime Factorization of 14058

Now multiplying the highest exponent prime factors to calculate the LCM of 14038 and 14058.

LCM(14038,14058) = 2¹ × 7019¹ × 3² × 11¹ × 71¹
LCM(14038,14058) = 98673102